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   &#160;<span id="projectnumber">0.9.4_prerelease_2019-07-31</span>
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   <div id="projectbrief">&nbsp;C++ bignum library</div>
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<a href="ttmathuint__noasm_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * This file is a part of TTMath Bignum Library</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * and is distributed under the 3-Clause BSD Licence.</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * Author: Tomasz Sowa &lt;t.sowa@ttmath.org&gt;</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">/* </span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> * Copyright (c) 2006-2010, Tomasz Sowa</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> * All rights reserved.</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> * </span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> * Redistribution and use in source and binary forms, with or without</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> * modification, are permitted provided that the following conditions are met:</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> * </span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> *  * Redistributions of source code must retain the above copyright notice,</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> *    this list of conditions and the following disclaimer.</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> *    </span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> *  * Redistributions in binary form must reproduce the above copyright</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"> *    notice, this list of conditions and the following disclaimer in the</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment"> *    documentation and/or other materials provided with the distribution.</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment"> *    </span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment"> *  * Neither the name Tomasz Sowa nor the names of contributors to this</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"> *    project may be used to endorse or promote products derived</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment"> *    from this software without specific prior written permission.</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot;</span></div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment"> * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE</span></div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment"> * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE</span></div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment"> * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE</span></div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment"> * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment"> * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment"> * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment"> * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN</span></div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment"> * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment"> * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment"> * THE POSSIBILITY OF SUCH DAMAGE.</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#ifndef headerfilettmathuint_noasm</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#define headerfilettmathuint_noasm</span></div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="comment">/*!</span></div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="comment">    \file ttmathuint_noasm.h</span></div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="comment">    \brief template class UInt&lt;uint&gt; with methods without any assembler code (used for no-asm version of ttmath)</span></div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment">    this file is included at the end of ttmathuint.h</span></div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#ifdef TTMATH_NOASM</span></div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacettmath.html">ttmath</a></div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;{</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="comment">        returning the string represents the currect type of the library</span></div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="comment">        we have following types:</span></div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="comment">        -  asm_vc_32   - with asm code designed for Microsoft Visual C++ (32 bits)</span></div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="comment">        -  asm_gcc_32  - with asm code designed for GCC (32 bits)</span></div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="comment">        -  asm_vc_64   - with asm for VC (64 bit)</span></div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="comment">        -  asm_gcc_64  - with asm for GCC (64 bit)</span></div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="comment">        -  no_asm_32   - pure C++ version (32 bit) - without any asm code</span></div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="comment">        -  no_asm_64   - pure C++ version (64 bit) - without any asm code</span></div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">char</span> * <a class="code" href="classttmath_1_1_u_int.html#add0cf14a0684fc8e7d8b1471759b35e0">UInt&lt;value_size&gt;::LibTypeStr</a>()</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    {</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="preprocessor">        #ifdef TTMATH_PLATFORM32</span></div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> info[] = <span class="stringliteral">&quot;no_asm_32&quot;</span>;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="preprocessor">        #endif      </span></div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="preprocessor">        #ifdef TTMATH_PLATFORM64</span></div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> info[] = <span class="stringliteral">&quot;no_asm_64&quot;</span>;</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="preprocessor">        #endif</span></div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <span class="keywordflow">return</span> info;</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    }</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <span class="comment"></span></div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="comment">        returning the currect type of the library</span></div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    <a class="code" href="namespacettmath.html#a5c3bd12cd3d050852a60e022e5e12799">LibTypeCode</a> <a class="code" href="classttmath_1_1_u_int.html#adce4f7a208708d70114fc49091f389c6">UInt&lt;value_size&gt;::LibType</a>()</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    {</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="preprocessor">        #ifdef TTMATH_PLATFORM32</span></div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;            <a class="code" href="namespacettmath.html#a5c3bd12cd3d050852a60e022e5e12799">LibTypeCode</a> info = no_asm_32;</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="preprocessor">        #endif      </span></div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="preprocessor">        #ifdef TTMATH_PLATFORM64</span></div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            <a class="code" href="namespacettmath.html#a5c3bd12cd3d050852a60e022e5e12799">LibTypeCode</a> info = no_asm_64;</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="preprocessor">        #endif</span></div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    <span class="keywordflow">return</span> info;</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    }</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="comment">        this method adds two words together</span></div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="comment">        returns carry</span></div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="comment">        this method is created only when TTMATH_NOASM macro is defined</span></div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> UInt&lt;value_size&gt;::AddTwoWords(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> a, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> b, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> carry, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * result)</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    {</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> temp;</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">if</span>( carry == 0 )</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        {</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;            temp = a + b;</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            <span class="keywordflow">if</span>( temp &lt; a )</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                carry = 1;</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        }</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">else</span></div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        {</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;            carry = 1;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;            temp  = a + b + carry;</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            <span class="keywordflow">if</span>( temp &gt; a ) <span class="comment">// !(temp&lt;=a)</span></div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                carry = 0;</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        }</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        *result = temp;</div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    <span class="keywordflow">return</span> carry;</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    }</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="comment">        this method adding ss2 to the this and adding carry if it&#39;s defined</span></div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="comment">        (this = this + ss2 + c)</span></div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="comment">        c must be zero or one (might be a bigger value than 1)</span></div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="comment">        function returns carry (1) (if it was)</span></div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    </div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> <a class="code" href="classttmath_1_1_u_int.html#af69f4f1a71948175abc653a82a728665">UInt&lt;value_size&gt;::Add</a>(<span class="keyword">const</span> UInt&lt;value_size&gt; &amp; ss2, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c)</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    {</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> i;</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <span class="keywordflow">for</span>(i=0 ; i&lt;value_size ; ++i)</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            c = AddTwoWords(table[i], ss2.table[i], c, &amp;table[i]);</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        TTMATH_LOGC(<span class="stringliteral">&quot;UInt::Add&quot;</span>, c)</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    </div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    <span class="keywordflow">return</span> c;</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    }</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;<span class="comment">        this method adds one word (at a specific position)</span></div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;<span class="comment">        and returns a carry (if it was)</span></div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="comment">        if we&#39;ve got (value_size=3):</span></div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;<span class="comment">            table[0] = 10;</span></div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="comment">            table[1] = 30;</span></div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="comment">            table[2] = 5;</span></div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;<span class="comment">        and we call:</span></div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;<span class="comment">            AddInt(2,1)</span></div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;<span class="comment">        then it&#39;ll be:</span></div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;<span class="comment">            table[0] = 10;</span></div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="comment">            table[1] = 30 + 2;</span></div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;<span class="comment">            table[2] = 5;</span></div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="comment">        of course if there was a carry from table[2] it would be returned</span></div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> <a class="code" href="classttmath_1_1_u_int.html#af4234f162487dbde47c9319f49b2d7af">UInt&lt;value_size&gt;::AddInt</a>(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> value, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> index)</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    {</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> i, c;</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        TTMATH_ASSERT( index &lt; value_size )</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;</div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;        c = AddTwoWords(table[index], value, 0, &amp;table[index]);</div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;        <span class="keywordflow">for</span>(i=index+1 ; i&lt;value_size &amp;&amp; c ; ++i)</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;            c = AddTwoWords(table[i], 0, c, &amp;table[i]);</div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;</div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        TTMATH_LOGC(<span class="stringliteral">&quot;UInt::AddInt&quot;</span>, c)</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    </div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    <span class="keywordflow">return</span> c;</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;    }</div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;</div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;<span class="comment">        this method adds only two unsigned words to the existing value</span></div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="comment">        and these words begin on the &#39;index&#39; position</span></div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;<span class="comment">        (it&#39;s used in the multiplication algorithm 2)</span></div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;<span class="comment">        index should be equal or smaller than value_size-2 (index &lt;= value_size-2)</span></div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;<span class="comment">        x1 - lower word, x2 - higher word</span></div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;<span class="comment">        for example if we&#39;ve got value_size equal 4 and:</span></div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;<span class="comment">            table[0] = 3</span></div><div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;<span class="comment">            table[1] = 4</span></div><div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="comment">            table[2] = 5</span></div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;<span class="comment">            table[3] = 6</span></div><div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;<span class="comment">        then let</span></div><div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;<span class="comment">            x1 = 10</span></div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;<span class="comment">            x2 = 20</span></div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="comment">        and</span></div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;<span class="comment">            index = 1</span></div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;<span class="comment">        the result of this method will be:</span></div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;<span class="comment">            table[0] = 3</span></div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;<span class="comment">            table[1] = 4 + x1 = 14</span></div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;<span class="comment">            table[2] = 5 + x2 = 25</span></div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;<span class="comment">            table[3] = 6</span></div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;<span class="comment">        </span></div><div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;<span class="comment">        and no carry at the end of table[3]</span></div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;<span class="comment">        (of course if there was a carry in table[2](5+20) then </span></div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;<span class="comment">        this carry would be passed to the table[3] etc.)</span></div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> <a class="code" href="classttmath_1_1_u_int.html#aba79aa3cdad513d1c41f4caa3758faab">UInt&lt;value_size&gt;::AddTwoInts</a>(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> x2, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> x1, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> index)</div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;    {</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> i, c;</div><div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;</div><div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;        TTMATH_ASSERT( index &lt; value_size - 1 )</div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;</div><div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;</div><div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;        c = AddTwoWords(table[index],   x1, 0, &amp;table[index]);</div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;        c = AddTwoWords(table[index+1], x2, c, &amp;table[index+1]);</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;        for(i=index+2 ; i&lt;value_size &amp;&amp; c ; ++i)</div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;            c = AddTwoWords(table[i], 0, c, &amp;table[i]);</div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        TTMATH_LOGC(&quot;UInt::AddTwoInts&quot;, c)</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    </div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;    return c;</div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;    }</div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;</div><div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;</div><div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="comment">        this static method addes one vector to the other</span></div><div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;<span class="comment">        &#39;ss1&#39; is larger in size or equal to &#39;ss2&#39;</span></div><div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;<span class="comment">        -  ss1 points to the first (larger) vector</span></div><div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;<span class="comment">        -  ss2 points to the second vector</span></div><div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;<span class="comment">        -  ss1_size - size of the ss1 (and size of the result too)</span></div><div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;<span class="comment">        -  ss2_size - size of the ss2</span></div><div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;<span class="comment">        -  result - is the result vector (which has size the same as ss1: ss1_size)</span></div><div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;<span class="comment">            Example:  ss1_size is 5, ss2_size is 3</span></div><div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;<span class="comment">            ss1:      ss2:   result (output):</span></div><div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;<span class="comment">              5        1         5+1</span></div><div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;<span class="comment">              4        3         4+3</span></div><div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;<span class="comment">              2        7         2+7</span></div><div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;<span class="comment">              6                  6</span></div><div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;<span class="comment">              9                  9</span></div><div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;<span class="comment">      of course the carry is propagated and will be returned from the last item</span></div><div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;<span class="comment">      (this method is used by the Karatsuba multiplication algorithm)</span></div><div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;    template&lt;<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> value_size&gt;</div><div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> UInt&lt;value_size&gt;::AddVector(const <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * ss1, const <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * ss2, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> ss1_size, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> ss2_size, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * result)</div><div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;    {</div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> i, c = 0;</div><div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;</div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        TTMATH_ASSERT( ss1_size &gt;= ss2_size )</div><div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;        </div><div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;        <span class="keywordflow">for</span>(i=0 ; i&lt;ss2_size ; ++i)</div><div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;            c = AddTwoWords(ss1[i], ss2[i], c, &amp;result[i]);</div><div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;</div><div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        <span class="keywordflow">for</span>( ; i&lt;ss1_size ; ++i)</div><div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;            c = AddTwoWords(ss1[i], 0, c, &amp;result[i]);</div><div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;</div><div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;        TTMATH_VECTOR_LOGC(<span class="stringliteral">&quot;UInt::AddVector&quot;</span>, c, result, ss1_size)</div><div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;</div><div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;    <span class="keywordflow">return</span> c;</div><div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;    }</div><div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;</div><div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;</div><div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;</div><div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;<span class="comment">        this method subtractes one word from the other</span></div><div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;<span class="comment">        returns carry</span></div><div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="comment">        this method is created only when TTMATH_NOASM macro is defined</span></div><div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> UInt&lt;value_size&gt;::SubTwoWords(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> a, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> b, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> carry, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * result)</div><div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;    {</div><div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;        <span class="keywordflow">if</span>( carry == 0 )</div><div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;        {</div><div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;            *result = a - b;</div><div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;</div><div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;            <span class="keywordflow">if</span>( a &lt; b )</div><div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;                carry = 1;</div><div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;        }</div><div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;        <span class="keywordflow">else</span></div><div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;        {</div><div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;            carry   = 1;</div><div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;            *result = a - b - carry;</div><div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;</div><div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;            <span class="keywordflow">if</span>( a &gt; b ) <span class="comment">// !(a &lt;= b )</span></div><div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;                carry = 0;</div><div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;        }</div><div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;</div><div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;    <span class="keywordflow">return</span> carry;</div><div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;    }</div><div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;</div><div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;</div><div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;</div><div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;<span class="comment">        this method&#39;s subtracting ss2 from the &#39;this&#39; and subtracting</span></div><div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;<span class="comment">        carry if it has been defined</span></div><div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;<span class="comment">        (this = this - ss2 - c)</span></div><div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;<span class="comment">        c must be zero or one (might be a bigger value than 1)</span></div><div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;<span class="comment">        function returns carry (1) (if it was)</span></div><div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> <a class="code" href="classttmath_1_1_u_int.html#a62de1450c61299cdbbda5632b85386c8">UInt&lt;value_size&gt;::Sub</a>(<span class="keyword">const</span> UInt&lt;value_size&gt; &amp; ss2, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c)</div><div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;    {</div><div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> i;</div><div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;</div><div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;        <span class="keywordflow">for</span>(i=0 ; i&lt;value_size ; ++i)</div><div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;            c = SubTwoWords(table[i], ss2.table[i], c, &amp;table[i]);</div><div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;</div><div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;        TTMATH_LOGC(<span class="stringliteral">&quot;UInt::Sub&quot;</span>, c)</div><div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;</div><div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;    <span class="keywordflow">return</span> c;</div><div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;    }</div><div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;</div><div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;</div><div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;</div><div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;<span class="comment">        this method subtracts one word (at a specific position)</span></div><div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;<span class="comment">        and returns a carry (if it was)</span></div><div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;<span class="comment">        if we&#39;ve got (value_size=3):</span></div><div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;<span class="comment">            table[0] = 10;</span></div><div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;<span class="comment">            table[1] = 30;</span></div><div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;<span class="comment">            table[2] = 5;   </span></div><div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;<span class="comment">        and we call:</span></div><div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;<span class="comment">            SubInt(2,1)</span></div><div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;<span class="comment">        then it&#39;ll be:</span></div><div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;<span class="comment">            table[0] = 10;</span></div><div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;<span class="comment">            table[1] = 30 - 2;</span></div><div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;<span class="comment">            table[2] = 5;</span></div><div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;<span class="comment">        of course if there was a carry from table[2] it would be returned</span></div><div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> <a class="code" href="classttmath_1_1_u_int.html#abe3a0a22636f905e536aaacf960d962b">UInt&lt;value_size&gt;::SubInt</a>(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> value, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> index)</div><div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;    {</div><div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> i, c;</div><div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;</div><div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;        TTMATH_ASSERT( index &lt; value_size )</div><div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;</div><div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;</div><div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;        c = SubTwoWords(table[index], value, 0, &amp;table[index]);</div><div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;</div><div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;        <span class="keywordflow">for</span>(i=index+1 ; i&lt;value_size &amp;&amp; c ; ++i)</div><div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;            c = SubTwoWords(table[i], 0, c, &amp;table[i]);</div><div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;</div><div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;        TTMATH_LOGC(<span class="stringliteral">&quot;UInt::SubInt&quot;</span>, c)</div><div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;    </div><div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;    <span class="keywordflow">return</span> c;</div><div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;    }</div><div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;</div><div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;<span class="comment">        this static method subtractes one vector from the other</span></div><div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;<span class="comment">        &#39;ss1&#39; is larger in size or equal to &#39;ss2&#39;</span></div><div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;<span class="comment">        -  ss1 points to the first (larger) vector</span></div><div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;<span class="comment">        -  ss2 points to the second vector</span></div><div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;<span class="comment">        -  ss1_size - size of the ss1 (and size of the result too)</span></div><div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;<span class="comment">        -  ss2_size - size of the ss2</span></div><div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;<span class="comment">        -  result - is the result vector (which has size the same as ss1: ss1_size)</span></div><div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;<span class="comment">            Example:  ss1_size is 5, ss2_size is 3</span></div><div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;<span class="comment">            ss1:      ss2:   result (output):</span></div><div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;<span class="comment">              5        1         5-1</span></div><div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;<span class="comment">              4        3         4-3</span></div><div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;<span class="comment">              2        7         2-7</span></div><div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;<span class="comment">              6                  6-1  (the borrow from previous item)</span></div><div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;<span class="comment">              9                  9</span></div><div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;<span class="comment">                         return (carry): 0</span></div><div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;<span class="comment">      of course the carry (borrow) is propagated and will be returned from the last item</span></div><div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;<span class="comment">      (this method is used by the Karatsuba multiplication algorithm)</span></div><div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> <a class="code" href="classttmath_1_1_u_int.html#a3a6ae874a0cf32e0e21a34b9f64feda8">UInt&lt;value_size&gt;::SubVector</a>(<span class="keyword">const</span> <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * ss1, <span class="keyword">const</span> <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * ss2, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> ss1_size, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> ss2_size, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * result)</div><div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;    {</div><div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> i, c = 0;</div><div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;</div><div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;        TTMATH_ASSERT( ss1_size &gt;= ss2_size )</div><div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;        </div><div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;        <span class="keywordflow">for</span>(i=0 ; i&lt;ss2_size ; ++i)</div><div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;            c = SubTwoWords(ss1[i], ss2[i], c, &amp;result[i]);</div><div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;</div><div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;        <span class="keywordflow">for</span>( ; i&lt;ss1_size ; ++i)</div><div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;            c = SubTwoWords(ss1[i], 0, c, &amp;result[i]);</div><div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;</div><div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;        TTMATH_VECTOR_LOGC(<span class="stringliteral">&quot;UInt::SubVector&quot;</span>, c, result, ss1_size)</div><div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;</div><div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;    <span class="keywordflow">return</span> c;</div><div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;    }</div><div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;</div><div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;</div><div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;<span class="comment">        this method moves all bits into the left hand side</span></div><div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;<span class="comment">        return value &lt;- this &lt;- c</span></div><div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;<span class="comment">        the lowest *bit* will be held the &#39;c&#39; and</span></div><div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;<span class="comment">        the state of one additional bit (on the left hand side)</span></div><div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;<span class="comment">        will be returned</span></div><div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;<span class="comment">        for example:</span></div><div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;<span class="comment">        let this is 001010000</span></div><div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;<span class="comment">        after Rcl2_one(1) there&#39;ll be 010100001 and Rcl2_one returns 0</span></div><div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> UInt&lt;value_size&gt;::Rcl2_one(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c)</div><div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;    {</div><div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> i, new_c;</div><div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;</div><div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;        <span class="keywordflow">if</span>( c != 0 )</div><div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;            c = 1;</div><div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;</div><div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;        <span class="keywordflow">for</span>(i=0 ; i&lt;value_size ; ++i)</div><div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;        {</div><div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;            new_c    = (table[i] &amp; <a class="code" href="ttmathtypes_8h.html#a0ccaf279c13b1d747ef8c4690d84b5dd">TTMATH_UINT_HIGHEST_BIT</a>) ? 1 : 0;</div><div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;            table[i] = (table[i] &lt;&lt; 1) | c;</div><div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;            c        = new_c;</div><div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;        }</div><div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;</div><div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;        TTMATH_LOGC(<span class="stringliteral">&quot;UInt::Rcl2_one&quot;</span>, c)</div><div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;</div><div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;    <span class="keywordflow">return</span> c;</div><div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;    }</div><div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;</div><div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;</div><div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;</div><div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;</div><div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;</div><div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;</div><div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;<span class="comment">        this method moves all bits into the right hand side</span></div><div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;<span class="comment">        c -&gt; this -&gt; return value</span></div><div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;<span class="comment">        the highest *bit* will be held the &#39;c&#39; and</span></div><div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;<span class="comment">        the state of one additional bit (on the right hand side)</span></div><div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;<span class="comment">        will be returned</span></div><div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;<span class="comment">        for example:</span></div><div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;<span class="comment">        let this is 000000010</span></div><div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;<span class="comment">        after Rcr2_one(1) there&#39;ll be 100000001 and Rcr2_one returns 0</span></div><div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> UInt&lt;value_size&gt;::Rcr2_one(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c)</div><div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;    {</div><div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;    <a class="code" href="namespacettmath.html#a4b0a5dcba29a2c7a0abc8b4403a25ac4">sint</a> i; <span class="comment">// signed i</span></div><div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> new_c;</div><div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;</div><div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;        <span class="keywordflow">if</span>( c != 0 )</div><div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;            c = <a class="code" href="ttmathtypes_8h.html#a0ccaf279c13b1d747ef8c4690d84b5dd">TTMATH_UINT_HIGHEST_BIT</a>;</div><div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;</div><div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;        <span class="keywordflow">for</span>(i=<a class="code" href="namespacettmath.html#a4b0a5dcba29a2c7a0abc8b4403a25ac4">sint</a>(value_size)-1 ; i&gt;=0 ; --i)</div><div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;        {</div><div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;            new_c    = (table[i] &amp; 1) ? <a class="code" href="ttmathtypes_8h.html#a0ccaf279c13b1d747ef8c4690d84b5dd">TTMATH_UINT_HIGHEST_BIT</a> : 0;</div><div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;            table[i] = (table[i] &gt;&gt; 1) | c;</div><div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;            c        = new_c;</div><div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;        }</div><div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;</div><div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;        c = (c != 0)? 1 : 0;</div><div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;</div><div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;        TTMATH_LOGC(<span class="stringliteral">&quot;UInt::Rcr2_one&quot;</span>, c)</div><div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;</div><div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;    <span class="keywordflow">return</span> c;</div><div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;    }</div><div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;</div><div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;</div><div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;</div><div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;<span class="comment">        this method moves all bits into the left hand side</span></div><div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;<span class="comment">        return value &lt;- this &lt;- c</span></div><div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;<span class="comment">        the lowest *bits* will be held the &#39;c&#39; and</span></div><div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;<span class="comment">        the state of one additional bit (on the left hand side)</span></div><div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;<span class="comment">        will be returned</span></div><div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;<span class="comment">        for example:</span></div><div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;<span class="comment">        let this is 001010000</span></div><div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;<span class="comment">        after Rcl2(3, 1) there&#39;ll be 010000111 and Rcl2 returns 1</span></div><div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> UInt&lt;value_size&gt;::Rcl2(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> bits, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c)</div><div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;    {</div><div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;        TTMATH_ASSERT( bits&gt;0 &amp;&amp; bits&lt;<a class="code" href="ttmathtypes_8h.html#aef936ab7a0d7f0c34a9a794b3072cf6a">TTMATH_BITS_PER_UINT</a> )</div><div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;</div><div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> move = <a class="code" href="ttmathtypes_8h.html#aef936ab7a0d7f0c34a9a794b3072cf6a">TTMATH_BITS_PER_UINT</a> - bits;</div><div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> i, new_c;</div><div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;</div><div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;        <span class="keywordflow">if</span>( c != 0 )</div><div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;            c = <a class="code" href="ttmathtypes_8h.html#a3af4b841f70a529a150c820780e1eb40">TTMATH_UINT_MAX_VALUE</a> &gt;&gt; move;</div><div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;</div><div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;        <span class="keywordflow">for</span>(i=0 ; i&lt;value_size ; ++i)</div><div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;        {</div><div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;            new_c    = table[i] &gt;&gt; move;</div><div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;            table[i] = (table[i] &lt;&lt; bits) | c;</div><div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;            c        = new_c;</div><div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;        }</div><div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;</div><div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;        TTMATH_LOGC(<span class="stringliteral">&quot;UInt::Rcl2&quot;</span>, (c &amp; 1))</div><div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;</div><div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;    <span class="keywordflow">return</span> (c &amp; 1);</div><div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;    }</div><div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;</div><div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;</div><div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;</div><div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;<span class="comment">        this method moves all bits into the right hand side</span></div><div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;<span class="comment">        C -&gt; this -&gt; return value</span></div><div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;<span class="comment">        the highest *bits* will be held the &#39;c&#39; and</span></div><div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;<span class="comment">        the state of one additional bit (on the right hand side)</span></div><div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;<span class="comment">        will be returned</span></div><div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;<span class="comment">        for example:</span></div><div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;<span class="comment">        let this is 000000010</span></div><div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;<span class="comment">        after Rcr2(2, 1) there&#39;ll be 110000000 and Rcr2 returns 1</span></div><div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> UInt&lt;value_size&gt;::Rcr2(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> bits, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c)</div><div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;    {</div><div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;        TTMATH_ASSERT( bits&gt;0 &amp;&amp; bits&lt;<a class="code" href="ttmathtypes_8h.html#aef936ab7a0d7f0c34a9a794b3072cf6a">TTMATH_BITS_PER_UINT</a> )</div><div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;</div><div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> move = <a class="code" href="ttmathtypes_8h.html#aef936ab7a0d7f0c34a9a794b3072cf6a">TTMATH_BITS_PER_UINT</a> - bits;</div><div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;        <a class="code" href="namespacettmath.html#a4b0a5dcba29a2c7a0abc8b4403a25ac4">sint</a> i; <span class="comment">// signed</span></div><div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> new_c;</div><div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;</div><div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;        <span class="keywordflow">if</span>( c != 0 )</div><div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;            c = <a class="code" href="ttmathtypes_8h.html#a3af4b841f70a529a150c820780e1eb40">TTMATH_UINT_MAX_VALUE</a> &lt;&lt; move;</div><div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;</div><div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;        <span class="keywordflow">for</span>(i=value_size-1 ; i&gt;=0 ; --i)</div><div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;        {</div><div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;            new_c    = table[i] &lt;&lt; move;</div><div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;            table[i] = (table[i] &gt;&gt; bits) | c;</div><div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;            c        = new_c;</div><div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;        }</div><div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;</div><div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;        c = (c &amp; <a class="code" href="ttmathtypes_8h.html#a0ccaf279c13b1d747ef8c4690d84b5dd">TTMATH_UINT_HIGHEST_BIT</a>) ? 1 : 0;</div><div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;</div><div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;        TTMATH_LOGC(<span class="stringliteral">&quot;UInt::Rcr2&quot;</span>, c)</div><div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;</div><div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;    <span class="keywordflow">return</span> c;</div><div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;    }</div><div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;</div><div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;</div><div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;</div><div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;<span class="comment">        this method returns the number of the highest set bit in x</span></div><div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;<span class="comment">        if the &#39;x&#39; is zero this method returns &#39;-1&#39;</span></div><div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;    <a class="code" href="namespacettmath.html#a4b0a5dcba29a2c7a0abc8b4403a25ac4">sint</a> UInt&lt;value_size&gt;::FindLeadingBitInWord(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> x)</div><div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;    {</div><div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;        <span class="keywordflow">if</span>( x == 0 )</div><div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;            <span class="keywordflow">return</span> -1;</div><div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;</div><div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> bit = <a class="code" href="ttmathtypes_8h.html#aef936ab7a0d7f0c34a9a794b3072cf6a">TTMATH_BITS_PER_UINT</a> - 1;</div><div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;        </div><div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;        <span class="keywordflow">while</span>( (x &amp; <a class="code" href="ttmathtypes_8h.html#a0ccaf279c13b1d747ef8c4690d84b5dd">TTMATH_UINT_HIGHEST_BIT</a>) == 0 )</div><div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;        {</div><div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;            x = x &lt;&lt; 1;</div><div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;            --bit;</div><div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;        }</div><div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;</div><div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;    <span class="keywordflow">return</span> bit;</div><div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;    }</div><div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;</div><div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;</div><div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;<span class="comment">        this method returns the number of the highest set bit in x</span></div><div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;<span class="comment">        if the &#39;x&#39; is zero this method returns &#39;-1&#39;</span></div><div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;    <a class="code" href="namespacettmath.html#a4b0a5dcba29a2c7a0abc8b4403a25ac4">sint</a> UInt&lt;value_size&gt;::FindLowestBitInWord(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> x)</div><div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;    {</div><div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;        <span class="keywordflow">if</span>( x == 0 )</div><div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;            <span class="keywordflow">return</span> -1;</div><div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;</div><div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> bit = 0;</div><div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;        </div><div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;        <span class="keywordflow">while</span>( (x &amp; 1) == 0 )</div><div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;        {</div><div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;            x = x &gt;&gt; 1;</div><div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;            ++bit;</div><div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;        }</div><div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;</div><div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;    <span class="keywordflow">return</span> bit;</div><div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;    }</div><div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;</div><div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;</div><div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;<span class="comment">        this method sets a special bit in the &#39;value&#39;</span></div><div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;<span class="comment">        and returns the last state of the bit (zero or one)</span></div><div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;<span class="comment">        bit is from &lt;0,TTMATH_BITS_PER_UINT-1&gt;</span></div><div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;<span class="comment">        e.g.</span></div><div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;<span class="comment">            uint x = 100;</span></div><div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;<span class="comment">            uint bit = SetBitInWord(x, 3);</span></div><div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;<span class="comment">        now: x = 108 and bit = 0</span></div><div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> <a class="code" href="classttmath_1_1_u_int.html#aaff1daf23f958ea1000c63e58f8a1a67">UInt&lt;value_size&gt;::SetBitInWord</a>(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> &amp; value, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> bit)</div><div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;    {</div><div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;        TTMATH_ASSERT( bit &lt; <a class="code" href="ttmathtypes_8h.html#aef936ab7a0d7f0c34a9a794b3072cf6a">TTMATH_BITS_PER_UINT</a> )</div><div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;</div><div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> mask = 1;</div><div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;</div><div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;        <span class="keywordflow">if</span>( bit &gt; 0 )</div><div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;            mask = mask &lt;&lt; bit;</div><div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;</div><div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> last = value &amp; mask;</div><div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;        value     = value | mask;</div><div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;</div><div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;    <span class="keywordflow">return</span> (last != 0) ? 1 : 0;</div><div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;    }</div><div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;</div><div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;</div><div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;</div><div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;</div><div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;</div><div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;<span class="comment">     * Multiplication</span></div><div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;</div><div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;<span class="comment">        multiplication: result_high:result_low = a * b</span></div><div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;<span class="comment">        -  result_high - higher word of the result</span></div><div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;<span class="comment">        -  result_low  - lower word of the result</span></div><div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;<span class="comment">    </span></div><div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;<span class="comment">        this methos never returns a carry</span></div><div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;<span class="comment">        this method is used in the second version of the multiplication algorithms</span></div><div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classttmath_1_1_u_int.html#a9ef4b05ec898e0407bd1d01705fce885">UInt&lt;value_size&gt;::MulTwoWords</a>(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> a, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> b, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * result_high, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * result_low)</div><div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;    {</div><div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;<span class="preprocessor">    #ifdef TTMATH_PLATFORM32</span></div><div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;</div><div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;        <span class="comment">/*</span></div><div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;<span class="comment">            on 32bit platforms we have defined &#39;unsigned long long int&#39; type known as &#39;ulint&#39; in ttmath namespace</span></div><div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;<span class="comment">            this type has 64 bits, then we&#39;re using only one multiplication: 32bit * 32bit = 64bit</span></div><div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;<span class="comment">        */</span></div><div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;</div><div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;        <span class="keyword">union </span>uint_</div><div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;        {</div><div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;            <span class="keyword">struct</span></div><div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;            {</div><div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;                <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> low;  <span class="comment">// 32 bits</span></div><div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;                <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> high; <span class="comment">// 32 bits</span></div><div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;            } u_;</div><div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;</div><div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;            ulint u;       <span class="comment">// 64 bits</span></div><div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;        } res;</div><div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;</div><div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;        res.u = ulint(a) * ulint(b);     <span class="comment">// multiply two 32bit words, the result has 64 bits</span></div><div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;</div><div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;        *result_high = res.u_.high;</div><div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;        *result_low  = res.u_.low;</div><div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;</div><div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;<span class="preprocessor">    #else</span></div><div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;</div><div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;        <span class="comment">/*</span></div><div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;<span class="comment">            64 bits platforms</span></div><div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;<span class="comment">            we don&#39;t have a native type which has 128 bits</span></div><div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;<span class="comment">            then we&#39;re splitting &#39;a&#39; and &#39;b&#39; to 4 parts (high and low halves)</span></div><div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;<span class="comment">            and using 4 multiplications (with additions and carry correctness)</span></div><div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;<span class="comment">        */</span></div><div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;</div><div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;        uint_ a_;</div><div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;        uint_ b_;</div><div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;        uint_ res_high1, res_high2;</div><div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;        uint_ res_low1,  res_low2;</div><div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;        </div><div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;        a_.u = a;</div><div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;        b_.u = b;</div><div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;</div><div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;        <span class="comment">/*</span></div><div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;<span class="comment">            the multiplication is as follows (schoolbook algorithm with O(n^2) ):</span></div><div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;<span class="comment">                                                   32 bits         32 bits</span></div><div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;<span class="comment">                                             +--------------------------------+</span></div><div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;<span class="comment">                                             |   a_.u_.high   |   a_.u_.low   |</span></div><div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;<span class="comment">                                             +--------------------------------+</span></div><div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;<span class="comment">                                             |   b_.u_.high   |   b_.u_.low   |</span></div><div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;<span class="comment">            +--------------------------------+--------------------------------+</span></div><div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;<span class="comment">            |           res_high1.u          |           res_low1.u           |</span></div><div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;<span class="comment">            +--------------------------------+--------------------------------+</span></div><div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;<span class="comment">            |           res_high2.u          |           res_low2.u           |</span></div><div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;<span class="comment">            +--------------------------------+--------------------------------+</span></div><div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;<span class="comment">                          64 bits                          64 bits</span></div><div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;<span class="comment">        */</span></div><div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;</div><div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;</div><div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;        uint_ temp;</div><div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;</div><div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;        res_low1.u        = <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(b_.u_.low) * <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(a_.u_.low);</div><div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;</div><div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;        temp.u            = <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(res_low1.u_.high) + <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(b_.u_.low) * <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(a_.u_.high);</div><div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;        res_low1.u_.high  = temp.u_.low;</div><div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;        res_high1.u_.low  = temp.u_.high;</div><div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;        res_high1.u_.high = 0;</div><div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;</div><div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;        res_low2.u_.low   = 0;</div><div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;        temp.u            = <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(b_.u_.high) * <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(a_.u_.low);</div><div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;        res_low2.u_.high  = temp.u_.low;</div><div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;</div><div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;        res_high2.u       = <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(b_.u_.high) * <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(a_.u_.high) + <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(temp.u_.high);</div><div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;</div><div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c = AddTwoWords(res_low1.u, res_low2.u, 0, &amp;res_low2.u);</div><div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;        AddTwoWords(res_high1.u, res_high2.u, c, &amp;res_high2.u);                 <span class="comment">// there is no carry from here</span></div><div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;</div><div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;        *result_high = res_high2.u;</div><div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;        *result_low  = res_low2.u;</div><div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;</div><div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;<span class="preprocessor">    #endif</span></div><div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;    }</div><div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;</div><div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;</div><div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;</div><div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;<span class="comment">     * Division</span></div><div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;    </div><div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;<span class="comment">        this method calculates 64bits word a:b / 32bits c (a higher, b lower word)</span></div><div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;<span class="comment">        r = a:b / c and rest - remainder</span></div><div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;<span class="comment">        </span></div><div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;<span class="comment">        *</span></div><div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;<span class="comment">        * WARNING:</span></div><div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;<span class="comment">        * the c has to be suitably large for the result being keeped in one word,</span></div><div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;<span class="comment">        * if c is equal zero there&#39;ll be a hardware interruption (0)</span></div><div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;<span class="comment">        * and probably the end of your program</span></div><div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;<span class="comment">        *</span></div><div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classttmath_1_1_u_int.html#a9d4ebe31f0063a31aa1a28dcd8ee9b8b">UInt&lt;value_size&gt;::DivTwoWords</a>(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> a, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> b, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * r, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * rest)</div><div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;    {</div><div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;    <span class="comment">// (a &lt; c ) for the result to be one word</span></div><div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;    TTMATH_ASSERT( c != 0 &amp;&amp; a &lt; c )</div><div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;</div><div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;    <span class="preprocessor">#ifdef TTMATH_PLATFORM32</span></div><div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;</div><div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;        <span class="keyword">union</span></div><div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;        {</div><div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;            <span class="keyword">struct</span></div><div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;            {</div><div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;                <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> low;  <span class="comment">// 32 bits</span></div><div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;                <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> high; <span class="comment">// 32 bits</span></div><div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;            } u_;</div><div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;</div><div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;            ulint u;       <span class="comment">// 64 bits</span></div><div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;        } ab;</div><div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;</div><div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;        ab.u_.high = a;</div><div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;        ab.u_.low  = b;</div><div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;</div><div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;        *r    = <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(ab.u / c);</div><div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;        *rest = <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(ab.u % c);</div><div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;</div><div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;<span class="preprocessor">    #else</span></div><div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;</div><div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;        uint_ c_;</div><div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;        c_.u = c;</div><div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;</div><div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;</div><div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160; 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           <span class="comment">// then higher half of &#39;a&#39; is zero too (look at the asserts at the beginning - &#39;a&#39; is smaller than &#39;c&#39;)</span></div><div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;            uint_ a_, b_, res_, temp1, temp2;</div><div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;</div><div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;            a_.u = a;</div><div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;            b_.u = b;</div><div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;</div><div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;            temp1.u_.high = a_.u_.low;</div><div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;            temp1.u_.low  = b_.u_.high;</div><div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;</div><div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;            res_.u_.high  = (<span class="keywordtype">unsigned</span> int)(temp1.u / c);</div><div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;            temp2.u_.high = (<span class="keywordtype">unsigned</span> int)(temp1.u % c);</div><div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;            temp2.u_.low  = b_.u_.low;</div><div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;            </div><div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;            res_.u_.low  = (<span class="keywordtype">unsigned</span> int)(temp2.u / c);</div><div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;            *rest        = temp2.u % c;</div><div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;</div><div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;            *r = res_.u;</div><div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;        }</div><div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;        <span class="keywordflow">else</span></div><div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;        {</div><div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;            <span class="keywordflow">return</span> DivTwoWords2(a, b, c,  r,  rest);</div><div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;        }</div><div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;</div><div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;<span class="preprocessor">    #endif</span></div><div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;    }</div><div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;</div><div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;</div><div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;<span class="preprocessor">#ifdef TTMATH_PLATFORM64</span></div><div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;</div><div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;<span class="comment">    /*!</span></div><div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;<span class="comment">        this method is available only on 64bit platforms</span></div><div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;<span class="comment">        </span></div><div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;<span class="comment">        the same algorithm like the third division algorithm in ttmathuint.h</span></div><div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;<span class="comment">        but now with the radix=2^32</span></div><div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;<span class="comment">    */</span></div><div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;    <span class="keywordtype">void</span> UInt&lt;value_size&gt;::DivTwoWords2(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> a, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> b, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * r, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> * rest)</div><div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;    {</div><div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;        <span class="comment">// a is not zero</span></div><div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;        <span class="comment">// c_.u_.high is not zero</span></div><div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;</div><div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;        uint_ a_, b_, c_, u_, q_;</div><div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;        <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> u3; <span class="comment">// 32 bit</span></div><div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;</div><div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;        a_.u  = a;</div><div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;        b_.u  = b;</div><div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;        c_.u  = c;</div><div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;</div><div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;        <span class="comment">// normalizing</span></div><div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> d = DivTwoWordsNormalize(a_, b_, c_);</div><div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;</div><div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;        <span class="comment">// loop from j=1 to j=0</span></div><div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;        <span class="comment">//   the first step (for j=2) is skipped because our result is only in one word,</span></div><div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;        <span class="comment">//   (first &#39;q&#39; were 0 and nothing would be changed)</span></div><div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;        u_.u_.high = a_.u_.high;</div><div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;        u_.u_.low  = a_.u_.low;</div><div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;        u3         = b_.u_.high;</div><div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;        q_.u_.high = DivTwoWordsCalculate(u_, u3, c_);</div><div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;        MultiplySubtract(u_, u3, q_.u_.high, c_);</div><div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;        </div><div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;        u_.u_.high = u_.u_.low;</div><div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;        u_.u_.low  = u3;</div><div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;        u3         = b_.u_.low;</div><div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;        q_.u_.low  = DivTwoWordsCalculate(u_, u3, c_);</div><div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;        MultiplySubtract(u_, u3, q_.u_.low, c_);</div><div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;</div><div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;        *r = q_.u;</div><div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;</div><div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;        <span class="comment">// unnormalizing for the remainder</span></div><div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;        u_.u_.high = u_.u_.low;</div><div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;        u_.u_.low  = u3;</div><div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;        *rest = DivTwoWordsUnnormalize(u_.u, d);</div><div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;    }</div><div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;</div><div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;</div><div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;</div><div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;    </div><div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> UInt&lt;value_size&gt;::DivTwoWordsNormalize(uint_ &amp; a_, uint_ &amp; b_, uint_ &amp; c_)</div><div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;    {</div><div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> d = 0;</div><div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;</div><div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;        <span class="keywordflow">for</span>( ; (c_.u &amp; <a class="code" href="ttmathtypes_8h.html#a0ccaf279c13b1d747ef8c4690d84b5dd">TTMATH_UINT_HIGHEST_BIT</a>) == 0 ; ++d )</div><div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;        {</div><div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;            c_.u = c_.u &lt;&lt; 1;</div><div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160;            </div><div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;            <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> bc = b_.u &amp; <a class="code" href="ttmathtypes_8h.html#a0ccaf279c13b1d747ef8c4690d84b5dd">TTMATH_UINT_HIGHEST_BIT</a>; <span class="comment">// carry from &#39;b&#39;</span></div><div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;</div><div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;            b_.u = b_.u &lt;&lt; 1;</div><div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;            a_.u = a_.u &lt;&lt; 1; <span class="comment">// carry bits from &#39;a&#39; are simply skipped </span></div><div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;</div><div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;            <span class="keywordflow">if</span>( bc )</div><div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;                a_.u = a_.u | 1;</div><div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;        }</div><div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;</div><div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;    <span class="keywordflow">return</span> d;</div><div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;    }</div><div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;</div><div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;</div><div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;    <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> UInt&lt;value_size&gt;::DivTwoWordsUnnormalize(<a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> u, <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> d)</div><div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;    {</div><div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;        <span class="keywordflow">if</span>( d == 0 )</div><div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;            <span class="keywordflow">return</span> u;</div><div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160;</div><div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;        u = u &gt;&gt; d;</div><div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;</div><div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;    <span class="keywordflow">return</span> u;</div><div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;    }</div><div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;</div><div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;</div><div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;    <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> UInt&lt;value_size&gt;::DivTwoWordsCalculate(uint_ u_, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> u3, uint_ v_)</div><div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;    {</div><div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;    <span class="keywordtype">bool</span> next_test;</div><div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;    uint_ qp_, rp_, temp_;</div><div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;</div><div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;        qp_.u = u_.u / <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(v_.u_.high);</div><div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;        rp_.u = u_.u % <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(v_.u_.high);</div><div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;</div><div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;        TTMATH_ASSERT( qp_.u_.high==0 || qp_.u_.high==1 )</div><div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;</div><div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;        do</div><div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;        {</div><div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;            <span class="keywordtype">bool</span> decrease = <span class="keyword">false</span>;</div><div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;</div><div class="line"><a name="l00963"></a><span class="lineno">  963</span>&#160;            <span class="keywordflow">if</span>( qp_.u_.high == 1 )</div><div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;                decrease = <span class="keyword">true</span>;</div><div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;            <span class="keywordflow">else</span></div><div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;            {</div><div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;                temp_.u_.high = rp_.u_.low;</div><div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;                temp_.u_.low  = u3;</div><div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;</div><div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;                <span class="keywordflow">if</span>( qp_.u * <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a>(v_.u_.low) &gt; temp_.u )</div><div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;                    decrease = <span class="keyword">true</span>;</div><div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;            }</div><div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160;            </div><div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;            next_test = <span class="keyword">false</span>;</div><div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160;</div><div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160; 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       <span class="keywordflow">while</span>( next_test );</div><div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160;</div><div class="line"><a name="l00987"></a><span class="lineno">  987</span>&#160;    <span class="keywordflow">return</span> qp_.u_.low;</div><div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;    }</div><div class="line"><a name="l00989"></a><span class="lineno">  989</span>&#160;</div><div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;</div><div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160;    <span class="keyword">template</span>&lt;u<span class="keywordtype">int</span> value_size&gt;</div><div class="line"><a name="l00992"></a><span class="lineno">  992</span>&#160;    <span class="keywordtype">void</span> UInt&lt;value_size&gt;::MultiplySubtract(uint_ &amp; u_, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; u3, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; q, uint_ v_)</div><div class="line"><a name="l00993"></a><span class="lineno">  993</span>&#160;    {</div><div class="line"><a name="l00994"></a><span class="lineno">  994</span>&#160;    uint_ temp_;</div><div class="line"><a name="l00995"></a><span class="lineno">  995</span>&#160;        </div><div class="line"><a name="l00996"></a><span class="lineno">  996</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> res_high;</div><div class="line"><a name="l00997"></a><span class="lineno">  997</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> res_low;</div><div class="line"><a name="l00998"></a><span class="lineno">  998</span>&#160;</div><div class="line"><a name="l00999"></a><span class="lineno">  999</span>&#160;        MulTwoWords(v_.u, q, &amp;res_high, &amp;res_low);</div><div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;</div><div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;        uint_ sub_res_high_;</div><div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;        uint_ sub_res_low_;</div><div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;</div><div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;        temp_.u_.high = u_.u_.low;</div><div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;        temp_.u_.low  = u3;</div><div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;</div><div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;        <a class="code" href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">uint</a> c = SubTwoWords(temp_.u, res_low, 0, &amp;sub_res_low_.u);</div><div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;            </div><div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;        temp_.u_.high = 0;</div><div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;        temp_.u_.low  = u_.u_.high;</div><div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;        c = SubTwoWords(temp_.u, res_high, c, &amp;sub_res_high_.u);</div><div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;</div><div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;        <span class="keywordflow">if</span>( c )</div><div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;        {</div><div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;            --q;</div><div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;</div><div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;            c = AddTwoWords(sub_res_low_.u, v_.u, 0, &amp;sub_res_low_.u);</div><div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;            AddTwoWords(sub_res_high_.u, 0, c, &amp;sub_res_high_.u);</div><div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;        }</div><div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;</div><div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;        u_.u_.high = sub_res_high_.u_.low;</div><div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;        u_.u_.low  = sub_res_low_.u_.high;</div><div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;        u3         = sub_res_low_.u_.low;</div><div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;    }</div><div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;</div><div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;<span class="preprocessor">#endif // #ifdef TTMATH_PLATFORM64</span></div><div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;</div><div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;</div><div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;</div><div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;} <span class="comment">//namespace</span></div><div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;</div><div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;</div><div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;<span class="preprocessor">#endif //ifdef TTMATH_NOASM</span></div><div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;</div><div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;</div><div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;</div><div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;</div><div class="ttc" id="classttmath_1_1_u_int_html_abe3a0a22636f905e536aaacf960d962b"><div class="ttname"><a href="classttmath_1_1_u_int.html#abe3a0a22636f905e536aaacf960d962b">ttmath::UInt::SubInt</a></div><div class="ttdeci">uint SubInt(uint value, uint index=0)</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l00530">ttmathuint_x86_64.h:530</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_af4234f162487dbde47c9319f49b2d7af"><div class="ttname"><a href="classttmath_1_1_u_int.html#af4234f162487dbde47c9319f49b2d7af">ttmath::UInt::AddInt</a></div><div class="ttdeci">uint AddInt(uint value, uint index=0)</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l00231">ttmathuint_x86_64.h:231</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_add0cf14a0684fc8e7d8b1471759b35e0"><div class="ttname"><a href="classttmath_1_1_u_int.html#add0cf14a0684fc8e7d8b1471759b35e0">ttmath::UInt::LibTypeStr</a></div><div class="ttdeci">static const char * LibTypeStr()</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l00108">ttmathuint_x86_64.h:108</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_a62de1450c61299cdbbda5632b85386c8"><div class="ttname"><a href="classttmath_1_1_u_int.html#a62de1450c61299cdbbda5632b85386c8">ttmath::UInt::Sub</a></div><div class="ttdeci">uint Sub(const UInt&lt; value_size &gt; &amp;ss2, uint c=0)</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l00460">ttmathuint_x86_64.h:460</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_af69f4f1a71948175abc653a82a728665"><div class="ttname"><a href="classttmath_1_1_u_int.html#af69f4f1a71948175abc653a82a728665">ttmath::UInt::Add</a></div><div class="ttdeci">uint Add(const UInt&lt; value_size &gt; &amp;ss2, uint c=0)</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l00158">ttmathuint_x86_64.h:158</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_adce4f7a208708d70114fc49091f389c6"><div class="ttname"><a href="classttmath_1_1_u_int.html#adce4f7a208708d70114fc49091f389c6">ttmath::UInt::LibType</a></div><div class="ttdeci">static LibTypeCode LibType()</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l00126">ttmathuint_x86_64.h:126</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_a9ef4b05ec898e0407bd1d01705fce885"><div class="ttname"><a href="classttmath_1_1_u_int.html#a9ef4b05ec898e0407bd1d01705fce885">ttmath::UInt::MulTwoWords</a></div><div class="ttdeci">static void MulTwoWords(uint a, uint b, uint *result_high, uint *result_low)</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l01072">ttmathuint_x86_64.h:1072</a></div></div>
<div class="ttc" id="ttmathtypes_8h_html_a0ccaf279c13b1d747ef8c4690d84b5dd"><div class="ttname"><a href="ttmathtypes_8h.html#a0ccaf279c13b1d747ef8c4690d84b5dd">TTMATH_UINT_HIGHEST_BIT</a></div><div class="ttdeci">#define TTMATH_UINT_HIGHEST_BIT</div><div class="ttdef"><b>Definition:</b> <a href="ttmathtypes_8h_source.html#l00258">ttmathtypes.h:258</a></div></div>
<div class="ttc" id="namespacettmath_html"><div class="ttname"><a href="namespacettmath.html">ttmath</a></div><div class="ttdoc">a namespace for the TTMath library</div><div class="ttdef"><b>Definition:</b> <a href="ttmath_8h_source.html#l00062">ttmath.h:62</a></div></div>
<div class="ttc" id="namespacettmath_html_a5c3bd12cd3d050852a60e022e5e12799"><div class="ttname"><a href="namespacettmath.html#a5c3bd12cd3d050852a60e022e5e12799">ttmath::LibTypeCode</a></div><div class="ttdeci">LibTypeCode</div><div class="ttdef"><b>Definition:</b> <a href="ttmathtypes_8h_source.html#l00356">ttmathtypes.h:356</a></div></div>
<div class="ttc" id="ttmathtypes_8h_html_a3af4b841f70a529a150c820780e1eb40"><div class="ttname"><a href="ttmathtypes_8h.html#a3af4b841f70a529a150c820780e1eb40">TTMATH_UINT_MAX_VALUE</a></div><div class="ttdeci">#define TTMATH_UINT_MAX_VALUE</div><div class="ttdef"><b>Definition:</b> <a href="ttmathtypes_8h_source.html#l00264">ttmathtypes.h:264</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_aba79aa3cdad513d1c41f4caa3758faab"><div class="ttname"><a href="classttmath_1_1_u_int.html#aba79aa3cdad513d1c41f4caa3758faab">ttmath::UInt::AddTwoInts</a></div><div class="ttdeci">uint AddTwoInts(uint x2, uint x1, uint index)</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l00316">ttmathuint_x86_64.h:316</a></div></div>
<div class="ttc" id="ttmathtypes_8h_html_aef936ab7a0d7f0c34a9a794b3072cf6a"><div class="ttname"><a href="ttmathtypes_8h.html#aef936ab7a0d7f0c34a9a794b3072cf6a">TTMATH_BITS_PER_UINT</a></div><div class="ttdeci">#define TTMATH_BITS_PER_UINT</div><div class="ttdef"><b>Definition:</b> <a href="ttmathtypes_8h_source.html#l00253">ttmathtypes.h:253</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_aaff1daf23f958ea1000c63e58f8a1a67"><div class="ttname"><a href="classttmath_1_1_u_int.html#aaff1daf23f958ea1000c63e58f8a1a67">ttmath::UInt::SetBitInWord</a></div><div class="ttdeci">static uint SetBitInWord(uint &amp;value, uint bit)</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l01020">ttmathuint_x86_64.h:1020</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_a9d4ebe31f0063a31aa1a28dcd8ee9b8b"><div class="ttname"><a href="classttmath_1_1_u_int.html#a9d4ebe31f0063a31aa1a28dcd8ee9b8b">ttmath::UInt::DivTwoWords</a></div><div class="ttdeci">static void DivTwoWords(uint a, uint b, uint c, uint *r, uint *rest)</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l01132">ttmathuint_x86_64.h:1132</a></div></div>
<div class="ttc" id="classttmath_1_1_u_int_html_a3a6ae874a0cf32e0e21a34b9f64feda8"><div class="ttname"><a href="classttmath_1_1_u_int.html#a3a6ae874a0cf32e0e21a34b9f64feda8">ttmath::UInt::SubVector</a></div><div class="ttdeci">static uint SubVector(const uint *ss1, const uint *ss2, uint ss1_size, uint ss2_size, uint *result)</div><div class="ttdef"><b>Definition:</b> <a href="ttmathuint__x86__64_8h_source.html#l00597">ttmathuint_x86_64.h:597</a></div></div>
<div class="ttc" id="namespacettmath_html_a4b0a5dcba29a2c7a0abc8b4403a25ac4"><div class="ttname"><a href="namespacettmath.html#a4b0a5dcba29a2c7a0abc8b4403a25ac4">ttmath::sint</a></div><div class="ttdeci">int64_t sint</div><div class="ttdef"><b>Definition:</b> <a href="ttmathtypes_8h_source.html#l00243">ttmathtypes.h:243</a></div></div>
<div class="ttc" id="namespacettmath_html_a5c1fccc9761aaa3d2b6dd32c224f5dac"><div class="ttname"><a href="namespacettmath.html#a5c1fccc9761aaa3d2b6dd32c224f5dac">ttmath::uint</a></div><div class="ttdeci">uint64_t uint</div><div class="ttdef"><b>Definition:</b> <a href="ttmathtypes_8h_source.html#l00238">ttmathtypes.h:238</a></div></div>
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